6541411264 has 14 divisors (see below), whose sum is σ = 12980613104. Its totient is φ = 3270705600.

The previous prime is 6541411211. The next prime is 6541411291. The reversal of 6541411264 is 4621141456.

It is a super-4 number, since 4×6541411264⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51104712 + ... + 51104839.

Almost surely, 2^6541411264 is an apocalyptic number.

6541411264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6541411264 is a deficient number, since it is larger than the sum of its proper divisors (6439201840).

6541411264 is a wasteful number, since it uses less digits than its factorization.

6541411264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102209563 (or 102209553 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 6541411264 is about 80878.9914872830. The cubic root of 6541411264 is about 1870.2104736073.

The spelling of 6541411264 in words is "six billion, five hundred forty-one million, four hundred eleven thousand, two hundred sixty-four".